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Finding the Fourth Proportional to 1,147.75, 1,721.63 and 282.07

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Solution

The fourth proportional to 1,147.75, 1,721.63 and 282.07 is: 423.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.75 : 1,721.63 = 282.07 : x
  2. Step 2: Convert to fraction form
    1,147.75/1,721.63 = 282.07/x
  3. Step 3: Cross multiply
    1,147.75x = 1,721.63 × 282.07
  4. Step 4: Simplify right side
    1,147.75x = 485,620.17
  5. Step 5: Solve for x
    x = 485,620.17/1,147.75
  6. Step 6: Final answer
    x = 423.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.